407006952 has 32 divisors (see below), whose sum is σ = 1110019680. Its totient is φ = 123335360.

The previous prime is 407006947. The next prime is 407006983. The reversal of 407006952 is 259600704.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770583 + ... + 771110.

It is an arithmetic number, because the mean of its divisors is an integer number (34688115).

Almost surely, 2^407006952 is an apocalyptic number.

It is an amenable number.

407006952 is an abundant number, since it is smaller than the sum of its proper divisors (703012728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407006952 is a wasteful number, since it uses less digits than its factorization.

407006952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541713 (or 1541709 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 407006952 is about 20174.4133000194. The cubic root of 407006952 is about 741.0837249977.

The spelling of 407006952 in words is "four hundred seven million, six thousand, nine hundred fifty-two".